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Finding the Third Proportional to 100,953 and 141,453

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Solution

The third proportional to 100,953 and 141,453 is: 198,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,953 : 141,453 = 141,453 : x
  2. Step 2: Convert to fraction form
    100,953/141,453 = 141,453/x
  3. Step 3: Cross multiply
    100,953x = 141,453 × 141,453
  4. Step 4: Simplify right side
    100,953x = 20,008,951,209
  5. Step 5: Solve for x
    x = 20,008,951,209/100,953
  6. Step 6: Final answer
    x = 198,200.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.